• Title/Summary/Keyword: heat equation

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A study on the Detection of Premature Quench Generated in the Process of Current Pumping in a Superconducting Power Supply (초전도 Power Supply의 전류펌핑 과정에서 발생하는 조기 퀜치발생 진단)

  • Kim, Ho-Min;Bae, Joon-Han;Noh, Jeong-Sub;Sim, Ki-Deok;Jang, Won-Kap;Ko, Tae-Kuk
    • Proceedings of the KIEE Conference
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    • 1997.07a
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    • pp.244-246
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    • 1997
  • This paper is to analyze the Premature Quench characteristics of a rotating magnet type superconducting fluxpump and consider the method of detecting and protecting this premature quench. Practically, there is contact resistance between the fluxpump and the load, namely the S.C. magnet. The thermal increase due to the contact resistance cause the premature quench before the charging current amounts to the critical current of S.C magnet. Therefore, this paper is devoted to solving the heat equation on contact region using cylindrical coordinates and to calculating the rate of thermal increase during the current is pumped up. Doing so, the predictive value of the maximum pumping current is obtained. It has been verified that the results of simulation are coincident with those of experiment. It must be considered essentially to minimize the contact resistance in designing the S.C fluxpump system in order to protect the premature quench and improve the maximum pumping current.

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Growth of Dendrites in the Unidirectionally Solidified Pivalic Acid-Ethanol System (일방향응고시킨 Pivalic Acid-Ethanol 계에서의 Dendrite의 성장)

  • Suk, Myung-Jin;Park, Young-Min
    • Journal of Korea Foundry Society
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    • v.31 no.4
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    • pp.191-197
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    • 2011
  • Transparent organic materials have been frequently used as an analog of the solidifying metallic materials, because their transparency permits an in-situ observation of the microstructural development during solidification through optical microscopy. Pivalic acid (PVA)-ethanol system showing an anisotropic property in solid-liquid interfacial energy and interface kinetics was adopted in the present experiment, and the detailed experiments performed are as follows: (1) variation of dendrite tip temperature with growth velocity, (2) correlation between primary dendrite arm spacing (${\lambda}_1$) and the growth orientation away from the heat flow direction (tilt angle: ${\theta}$), (3) variation of dendrite tip radius (R) with growth velocity (V), (4) dendrite tip stability parameter (${\sigma}^*$) and its dependence on the concentration. Concerning the correlation between the dendrite tip temperature and growth velocity the present result is well suited to Hunt-Lu equation. As the tilt angle increases, the average primary dendrite spacing tends to increase.

Combustion Instability of Gas Turbine with Segmented Dynamic Thermo-Acoustic Model under Load Follow-Up (이산형 열-음향 모델을 이용한 부하 변동시 가스터빈 연소 불안정 특성)

  • JEONG, JIWOONG;HAN, JAEYOUNG;JEONG, JINHEE;YU, SANGSEOK
    • Transactions of the Korean hydrogen and new energy society
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    • v.29 no.5
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    • pp.538-548
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    • 2018
  • The thermo-acoustic instability in the combustion process of a gas turbine is caused by the interaction of the heat release mechanism and the pressure perturbation. These acoustic vibrations cause fatigue failure of the combustor and decrease the combustion efficiency. This study is to develop a segmented dynamic thermo-acoustic model to understand combustion instability of gas turbine. Therefore, this study required a dynamic analysis rather than static analysis, and developed a segmented model that can analyze the performance of the system over time using the Matlab/Simulink. The developed model can confirm the thermo-acoustic combustion instability and exhaust gas concentration in the combustion chamber according to the equivalent ratio change, and confirm the thermo-acoustic combustion instability for the inlet temperature and the load changes. As a result, segmented dynamic thermo-acoustic model has been developed to analyze combustion instability under the operating condition.

Analysis of Diffusion Equations by Coupling of Laplace Transform and Finite Element Method (라플라스 변환과 유한요소법의 결합에 의한 확산방정식의 해석)

  • 성병철;이준호;이기식
    • Journal of the Korean Magnetics Society
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    • v.8 no.3
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    • pp.161-168
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    • 1998
  • In this paper, a algorithm is proposed, which is applicable to the transient analysis of diffusion equations by combined use of the Laplace transform and the finite element method. The proposed method removes the time terms using the Laplace transform and then solves the associated equation with the finite element method. The solution which is solved at frequency domain is transformed into time domain by use of the Laplace inversion. To verify the proposed algorithm, a heat conduction problem is analysed. And the solution showed a good agreement with analytic solution. Because the time-step method is not needed, the proposed method is very useful in solving various kinds of diffusion equations.

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Hypersonic Aero-Heating Ground-Test Simulation Technique

  • Li, Ruiqu;Yao, Dapeng;Sha, Xinguo;Gong, Jian
    • International Journal of Aerospace System Engineering
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    • v.2 no.2
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    • pp.50-53
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    • 2015
  • It would encounter some complicated flow fields, such as transition, separation, reattachment and disturbances, in the hypersonic flight. Thus, it is difficult to theoretically analyze the hypersonic aerothermodynamics effects, so that the ground-test simulation is thought of as one of the most important methods to improve the understanding level of the hypersonic aerothermodynamics. However, the aero-heating tests could not simulate all aerodynamics and geometry parameters in the real flight due to the differences between the experimental environments supplied by the ground facilities and the flight, so that the feasible technique for the ground-test simulation of the hypersonic aerothermodynamics effects is required to be advanced. The key parameters that are especially required to simulate for aero-heating tests are analyzed and one detailed approach is suggested to perform the experimental investigation on the hypersonic aero-heating effects in the ground facilities in this paper, and the tests are performed in the FD-20 gun tunnel of CAAA (China Academy of Aerospace Aerodynamics) to give out the data which could be used to confirm the equation from the theoretical analysis.

Dynamic Characteristics of Transverse Fuel Injection and Combustion Flow-Field inside a Scramjet Engine Combustor

  • Park, J-Y;V. Yang;F. Ma
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2004.03a
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    • pp.62-68
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    • 2004
  • A comprehensive numerical analysis has been carried out for both non-reacting and reacting flows in a scramjet engine combustor with and without a cavity. The theoretical formulation treats the complete conservation equations of chemically reacting flows with finite-rate chemistry of hydrogen-air. Turbulence closure is achieved by means of a k-$\omega$ two-equation model. The governing equations are discretized using a MUSCL-type TVD scheme, and temporally integrated by a second-order accurate implicit scheme. Transverse injection of hydrogen is considered over a broad range of injection pressure. The corresponding equivalence ratio of the overall fuel/air mixture ranges from 0.167 to 0.50. The work features detailed resolution of the flow and flame dynamics in the combustor, which was not typically available in most of the previous studies. In particular, the oscillatory flow characteristics are captured at a scale sufficient to identify the .underlying physical mechanisms. Much of the flow unsteadiness is related not only to the cavity, but also to the intrinsic unsteadiness in the flow-field. The interactions between the unsteady flow and flame evolution may cause a large excursion of flow oscillation. The roles of the cavity, injection pressure, and heat release in determining the flow dynamics are examined systematically.

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Optical properties and thermodynamic function properties of undoped and Co-doped $Zn_{0.5}Cd_{0.5}Al_{2}Se_{4}$ Single Crystals ($Zn_{0.5}Cd_{0.5}Al_{2}Se_{4}$$Zn_{0.5}Cd_{0.5}Al_{2}Se_{4}:Co^{2+}$ 단결정의 광학적 특성과 열역학 함수 추정)

  • Hyun, Seung-Cheol;Kim, Hyung-Gon;Kim, Duck-Tae;Park, Kwang-Ho;Park, Hyun;Oh, Seok-Kyun
    • Proceedings of the KIEE Conference
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    • 2002.06a
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    • pp.88-93
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    • 2002
  • $Zn_{0.5}Cd_{0.5}Al_{2}Se_{4}$ and $Zn_{0.5}Cd_{0.5}Al_{2}Se_{4}:Co^{2+}$ + single crystals were grown by CTR method. The grown single crystals have defect chalcopyrite structure with lattice constant a= 5.5966A. c= 10.8042${{\AA}}$ for the pure. a= 5.6543${{\AA}}$. c= 10.8205${{\AA}}$ for the Co-doped single crystal. respectively. The optical energy band gap was given as indirect band gap. The optical energy band gap was decreased according to add of Co-impurity. Temperature dependence of optical energy band gap was fitted well to the Varshni equation. From this relation. we can deduced the entropy. enthalpy and heat capacity. Also. we can observed the Co-impurity optical absorption peaks assigned to the $Co^{2+}$ ion sited at the $T_d$ symmetry lattice and we consider that they were attributed to the electron transitions between energy levels of ions.

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A Study on Optimal Operation of Microgrid Considering the Probabilistic Characteristics of Renewable Energy Generation and Emissions Trading Scheme (신재생에너지발전의 확률적인 특성과 탄소배출권을 고려한 마이크로그리드 최적 운용)

  • Kim, Ji-Hoon;Lee, Byung Ha
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.1
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    • pp.18-26
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    • 2014
  • A microgrid can play a significant role for enlargement of renewable energy sources and emission reduction because it is a network of small, distributed electrical power generators operated as a collective unit. In this paper, an application of optimization method to economical operation of a microgrid is studied. The microgrid to be studied here is composed of distributed generation system(DGS), battery systems and loads. The distributed generation systems include combined heat and power(CHP) and small generators such as diesel generators and the renewable energy generators such as photovoltaic(PV) systems, wind power systems. Both of thermal loads and electrical loads are included here as loads. Also the emissions trading scheme to be applied in near future, the cost of unit start-up and the operational characteristics of battery systems are considered as well as the probabilistic characteristics of the renewable energy generation and load. A mathematical equation for optimal operation of this system is modeled based on the mixed integer programming. It is shown that this optimization methodology can be effectively used for economical operation of a microgrid by the case studies.

A Study on the Reliability Prediction and Lifetime of the Electrolytic Condenser for EMU Inverter (전동차 인버터 구동용 전해콘덴서의 신뢰도예측과 수명 연구)

  • Han, Jae-Hyun;Bae, Chang-Han;Koo, Jeong-Seo
    • Journal of the Korean Society of Safety
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    • v.29 no.1
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    • pp.7-14
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    • 2014
  • Inverter module, which feeds the converted power to the traction motor for EMU. Consists of the power semiconductors with their gate drive unit(GDU)s and the control computer for driving, voltage, current and speed controls. Electrolytic condenser, connected to the gate drive unit and a core component to drive the power semiconductor, has problems such as reduction in lifetime and malfunction caused by electrical and mechanical characteristic changes from heat generation during high speed switching for generation of stable power. In this study, To check the service life of electrolytic condenser, the test was carried out in two ways. First, In the case of accelerated life testing of condenser, the Arrhenius model is a way of life testing. Another way is to analyze the reliability of the failure data by the method of parametric data analysis. Eventually, life time by accelerated life test than a method of failure data analysis(Weibull distribution) was found to be slightly larger output.

A Simulation Study on the Carbon Dioxide Removal Process Using Aqueous Amine Solution in the GTL Process (GTL 공정에서 아민 수용액을 이용한 이산화탄소 제거공정의 전산모사에 대한 연구)

  • Cho, Jung-Ho;Lee, Ji-Hwan
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.12 no.7
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    • pp.3334-3340
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    • 2011
  • In this study, a computer simulation work has been performed for the carbon dioxide removal process using aqueous amine solution in the GTL (Gas To Liquids) process. 30wt% DEA(diethnaol amine) aqueous solution was utilized as a carbon dioxide remvoal agent and an absorber-stripper two-columns configuration was used. Kent-Eisenburg modeling equation built-in amine specicial package was used for the modeling of the carbon dioxide removal process. PRO/II with PROVISION 9.0, a commercial process simulator was used. Through this simulation study, heat and material balance was obtained and packing column diameter and column height were also estimated.